66285792 has 144 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 21002496.

The previous prime is 66285767. The next prime is 66285799. The reversal of 66285792 is 29758266.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66285799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798583 + ... + 798665.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^66285792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66285792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

66285792 is an abundant number, since it is smaller than the sum of its proper divisors (131846688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66285792 is a wasteful number, since it uses less digits than its factorization.

66285792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 66285792 is about 8141.6086862487. The cubic root of 66285792 is about 404.7064722709.

The spelling of 66285792 in words is "sixty-six million, two hundred eighty-five thousand, seven hundred ninety-two".